Singular quasilinear convective elliptic systems in R^N

2021/02/19 by Umberto Guarnotta, Guarnotta, Umberto, S. Marano +3 · 1 citation
Computer Science · Mathematics · #35J47 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2102.09947

openalex publication_date 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates. Some regularity results are then employed to show that the obtained solution is actually strong.

Citations

• C1 + α local regularity of weak solutions of degenerate elliptic equations

Cited by

• Sub-supersolutions method for singular quasilinear systems involving gradient terms

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